Greatest Common Factor of 20384 and 20391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 20384, 20391 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20384 and 20391 is 7.

GCF(20384,20391) = 7

GCF of 20384 and 20391

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 20384 and 20391

GCF of 20384 and 20391 is 7

Prime Factorization of 20384


2 20384
2 10192
2 5096
2 2548
2 1274
7 637
7 91
13 13
1

Prime factors of 20384 are 2,7,13. Prime factorization of 20384 in exponential form is:

20384 = 25×72×131

Prime Factorization of 20391


3 20391
7 6797
971 971
1

Prime factors of 20391 are 3,7,971. Prime factorization of 20391 in exponential form is:

20391 = 31×71×9711

∴ So by taking common prime factors GCF of 20384 and 20391 is 7

Greatest Common Factor of 20384 and 20391 by matching factors method

Factors of 20384

List of positive integer factors of 20384 that divides 20384 without a remainder.

1,2,4,7,8,13,14,16,26,28,32,49,52,56,91,98,104,112,182,196,208,224,364,392,416,637,728,784,1274,1456,1568,2548,2912,5096,10192,20384

Factors of 20391

List of positive integer factors of 20391 that divides 20391 without a remainder.

1,3,7,21,971,2913,6797,20391

Greatest Common Factor

We found the factors and prime factorization of 20384 and 20391. The biggest common factor number is the GCF number.
So the greatest common factor 20384 and 20391 is 7.

Also check out the Least Common Multiple of 20384 and 20391

Properties of GCF 20384 and 20391

(i) The GCF of 20384 and 20391 is associative

GCF of 20384 and 20391 = GCF of 20391 and 20384

Related Greatest Common Factor of 20384

Related Greatest Common Factor of 20391

Frequently Asked Questions on GCF of 20384 and 20391

1. What is the GCF of 20384 and 20391?

Answer: GCF of 20384 and 20391 is 7.

2. What are the Factors of 20384?

Answer: Factors of 20384 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 224, 364, 392, 416, 637, 728, 784, 1274, 1456, 1568, 2548, 2912, 5096, 10192, 20384. There are 36 integers that are factors of 20384. The greatest factor of 20384 is 20384.

3. What are the Factors of 20391?

Answer: Factors of 20391 are 1, 3, 7, 21, 971, 2913, 6797, 20391. There are 8 integers that are factors of 20391. The greatest factor of 20391 is 20391.

4. How to Find the GCF of 20384 and 20391?

Answer:

Greatest Common Factor of 20384 and 20391 = 7

Step 1: Find the prime factorization of 20384

20384 = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 13

Step 2: Find the prime factorization of 20391

20391 = 3 x 7 x 971

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 20384 and 20391 is 7